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nydimaria [60]
3 years ago
12

Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric th

at is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt
Mathematics
1 answer:
muminat3 years ago
3 0

Answer:

3\frac{3}{4} yards of fabric

Step-by-step explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10 \frac{2}{4} - (2\frac{2}{4} + 4\frac{1}{4}) = x

10 \frac{2}{4} - 6\frac{3}{4} = x

3\frac{3}{4} = x

Finally, we can see that Rebecca needs a total of 3\frac{3}{4} yards of fabric to finish her quilt.

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6y+x=8 I need help with this problem
gavmur [86]
Alright so you need to put this equation in slope-intercept form. So you flip the x across the = sign and switch the sign to get 6y=-x+8.
Then you need y by itself so you divide everything by 6. Which gets you y=-1/6x+8/6.
Now simplify
y=-1/6x+4/3 or y=-1/6x+.75
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4 0
3 years ago
If you need $3,000 four years from now, how much would you need to deposit into an account that earns 5% interest, compounded an
Aleks04 [339]

Answer:

2468.11 dollars

Step-by-step explanation:

Amount that should be available after four years =3000 $

Interest rate = 5%

No of years =4

Let P be the principal invested

Then 3000=P(1+0.05)^4\\P=3000(1.05)^{-4} \\=2468.11

Hence 2468.11 dollars should be deposited to get 3000 dollars after 4 years at 5% interest.

6 0
3 years ago
Please help!!
vitfil [10]

Answer:

Step-by-step explanation:

Question says that it uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides. Putting this into equation, we have something like this.

120 = L + 2W

Where

LW = area.

Again, in order to maximize the area with the given fencing, from the equation written above, then Width, w must be = 30 feet and length, l must be = 60

On substituting, we have

A = LW = (120 - 2W) W

From the first equation, making L the subject of the formula, we have this

L = 120 - 2W, which then we substituted above.

On simplification, we have

L = 120W -2W²

Differentiating, we have

A' = 120 - 4W = 0

Remember that W = 30

So therefore, L = 120 - 2(30) = 60 feet

4 0
2 years ago
Jerry’s loan had a principal of $22,000. He made quarterly payments of $640 for nine years until the loan was paid in full. How
Leto [7]

Answer: $1040

A = P + I

A = Total

P = Principal

I = Interest

First find the total amount

A = 640(4)(9)

A = 23040

Plug In the Numbers

23040 = 22000 + I

Substract 22000 on both sides

I = $1040

8 0
3 years ago
On december 1, jonas jewelry wholesale center started with an inventory of 1,000 watches. shipments of 168, 231, and 411 were se
denis-greek [22]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Total watches in an inventory = 1000

Number of shipments sent out = 168, 231, 411

So, Remaining inventory of watches would be :

1000-(168+231+411)\\\\=1000-810\\\\=190

New receipts = 21, 145 and 11

So, Number of watches on hand becomes :

190+(21+145+11)\\\\=367

Hence, Third option is correct.

5 0
3 years ago
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